Singularities and computation of minimizers for variational problems.
Various issues are addressed related to the computation of minimizers for variational problems. Special attention is paid (i) to problems with singular minimizers, which natural numerical schemes may fail to detect, and the role of the choice of function space for such problems, and (ii) to problem...
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| Format: | Book section |
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Cambridge University Press
2001
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| _version_ | 1826275362517024768 |
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| author | Ball, J |
| author_facet | Ball, J |
| author_sort | Ball, J |
| collection | OXFORD |
| description | Various issues are addressed related to the computation of minimizers for variational problems. Special attention is paid (i) to problems with singular minimizers, which natural numerical schemes may fail to detect, and the role of the choice of function space for such problems, and (ii) to problems for which there is no minimizer, which lead to difficult numerical questions such as the computation of microstructure for elastic materials that undergo phase transformations involving a change of shape. |
| first_indexed | 2024-03-06T22:57:34Z |
| format | Book section |
| id | oxford-uuid:60f555f4-58d5-4ce3-8b09-ae307009d99a |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:57:34Z |
| publishDate | 2001 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:60f555f4-58d5-4ce3-8b09-ae307009d99a2022-03-26T17:56:27ZSingularities and computation of minimizers for variational problems.Book sectionhttp://purl.org/coar/resource_type/c_3248uuid:60f555f4-58d5-4ce3-8b09-ae307009d99aMathematical Institute - ePrintsCambridge University Press2001Ball, JVarious issues are addressed related to the computation of minimizers for variational problems. Special attention is paid (i) to problems with singular minimizers, which natural numerical schemes may fail to detect, and the role of the choice of function space for such problems, and (ii) to problems for which there is no minimizer, which lead to difficult numerical questions such as the computation of microstructure for elastic materials that undergo phase transformations involving a change of shape. |
| spellingShingle | Ball, J Singularities and computation of minimizers for variational problems. |
| title | Singularities and computation of minimizers for variational problems. |
| title_full | Singularities and computation of minimizers for variational problems. |
| title_fullStr | Singularities and computation of minimizers for variational problems. |
| title_full_unstemmed | Singularities and computation of minimizers for variational problems. |
| title_short | Singularities and computation of minimizers for variational problems. |
| title_sort | singularities and computation of minimizers for variational problems |
| work_keys_str_mv | AT ballj singularitiesandcomputationofminimizersforvariationalproblems |